Fractional diffusion-wave equations with critical nonlinearities in Lebesgue spaces
Abstract
This paper focuses on the study of semilinear fractional diffusion-wave equations in the context of critical nonlinearities. Firstly, we address the issue of local well-posedness for the problem, examine spatial regularity, and the continuous dependence of the solutions on initial data. Secondly, we establish the existence of global mild solutions and investigate their asymptotic behavior.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Nonlinear Partial Differential Equations
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 6 February 2026
- Document type
- Preprint